An analytical model for small signal stability analysis in unbalanced electrical power systems

Humberto Verdejo; Pablo Moreira; Wolfgang Kliemann; Cristhian Becker; José Delpiano

doi:10.3390/app10248855

An analytical model for small signal stability analysis in unbalanced electrical power systems

Humberto Verdejo, Pablo Moreira, Wolfgang Kliemann, Cristhian Becker, José Delpiano

Research output: Contribution to journal › Article › peer-review

Abstract

This paper presents a general model to carry out a small signal stability analysis in electrical power systems (EPSs) that operate in unbalanced conditions. The classic traditional approach is based on a phase representation where it is supposed that the triphasic electric grid does not suffer any variations during its operation. With the presence of unbalances in transmission lines and loads, it is necessary to develop a general model that allows answering the needs and challenges with which modern electric systems must deal. The present work firstly intends to address the three-phase representation of an EPS, including the controllers. The proposed model is applied to a classical test system, a three machine-nine bus system, considering all the dynamic and algebraic variations associated with angular stability analysis. The proposed approach to small signal stability analysis shows results that differ from the classical analysis. The results are backed up with time domain simulations, and therefore, these results could be used in the calculation of the controllers that operate in unbalanced multimachine systems.

Original language	English
Article number	8855
Pages (from-to)	1-28
Number of pages	28
Journal	Applied Sciences (Switzerland)
Volume	10
Issue number	24
DOIs	https://doi.org/10.3390/app10248855
State	Published - 2 Dec 2020
Externally published	Yes

Keywords

Power system modeling
Small signal stability
Unbalanced conditions

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title = "An analytical model for small signal stability analysis in unbalanced electrical power systems",

abstract = "This paper presents a general model to carry out a small signal stability analysis in electrical power systems (EPSs) that operate in unbalanced conditions. The classic traditional approach is based on a phase representation where it is supposed that the triphasic electric grid does not suffer any variations during its operation. With the presence of unbalances in transmission lines and loads, it is necessary to develop a general model that allows answering the needs and challenges with which modern electric systems must deal. The present work firstly intends to address the three-phase representation of an EPS, including the controllers. The proposed model is applied to a classical test system, a three machine-nine bus system, considering all the dynamic and algebraic variations associated with angular stability analysis. The proposed approach to small signal stability analysis shows results that differ from the classical analysis. The results are backed up with time domain simulations, and therefore, these results could be used in the calculation of the controllers that operate in unbalanced multimachine systems.",

keywords = "Power system modeling, Small signal stability, Unbalanced conditions",

author = "Humberto Verdejo and Pablo Moreira and Wolfgang Kliemann and Cristhian Becker and Jos{\'e} Delpiano",

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AU - Verdejo, Humberto

AU - Moreira, Pablo

AU - Kliemann, Wolfgang

AU - Becker, Cristhian

AU - Delpiano, José

N1 - Funding Information: Funding: This research was financed by Fondecyt Project 1180685 of the Agencia Nacional de Investigación y Desarrollo (ANID) of the Government of Chile. Publisher Copyright: © 2020 by the authors. Licensee MDPI, Basel, Switzerland. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2020/12/2

Y1 - 2020/12/2

N2 - This paper presents a general model to carry out a small signal stability analysis in electrical power systems (EPSs) that operate in unbalanced conditions. The classic traditional approach is based on a phase representation where it is supposed that the triphasic electric grid does not suffer any variations during its operation. With the presence of unbalances in transmission lines and loads, it is necessary to develop a general model that allows answering the needs and challenges with which modern electric systems must deal. The present work firstly intends to address the three-phase representation of an EPS, including the controllers. The proposed model is applied to a classical test system, a three machine-nine bus system, considering all the dynamic and algebraic variations associated with angular stability analysis. The proposed approach to small signal stability analysis shows results that differ from the classical analysis. The results are backed up with time domain simulations, and therefore, these results could be used in the calculation of the controllers that operate in unbalanced multimachine systems.

AB - This paper presents a general model to carry out a small signal stability analysis in electrical power systems (EPSs) that operate in unbalanced conditions. The classic traditional approach is based on a phase representation where it is supposed that the triphasic electric grid does not suffer any variations during its operation. With the presence of unbalances in transmission lines and loads, it is necessary to develop a general model that allows answering the needs and challenges with which modern electric systems must deal. The present work firstly intends to address the three-phase representation of an EPS, including the controllers. The proposed model is applied to a classical test system, a three machine-nine bus system, considering all the dynamic and algebraic variations associated with angular stability analysis. The proposed approach to small signal stability analysis shows results that differ from the classical analysis. The results are backed up with time domain simulations, and therefore, these results could be used in the calculation of the controllers that operate in unbalanced multimachine systems.

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